How does the number of particles increase the surface adsorption?

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Sciencestd
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How the number of the particles in a solution increase the probability to get adsorption on a surface? which physical terms explain this? For example when I increase the concentration of molecules in a solution I can see that the adsorption and the aggregation on the surface happen.
 
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I think density of the particles in the solution and how much area of surface is already absorbed would matter. Temperature would also matter.
 
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Thank you for the answer :)